When translating a point we need to change its coordinates, in this case the problem wants us to add "2" to each coordinate, so the new position of the points will be the previous ones added by 2. Let's first calculate the new coordinates before drawing.
[tex]\begin{gathered} A\text{ = (-2,2) }\rightarrow\text{ A' = (-2 + 2, 2 + 2) = (0, 4)} \\ B\text{ = (-2, -5) }\rightarrow\text{ B' = (-2 + 2, -5 + 2) = (0, -3)} \\ C\text{ = (-6,4) }\rightarrow\text{ C' = (-6 + 2, 4 + 2) = (-4, 6)} \end{gathered}[/tex]With the new coordinates in mind we can draw the new picture.